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 A042374 Numerators of continued fraction convergents to sqrt(714). 2
 26, 27, 80, 107, 187, 481, 668, 1149, 2966, 4115, 216946, 221061, 659068, 880129, 1539197, 3958523, 5497720, 9456243, 24410206, 33866449, 1785465554, 1819332003, 5424129560, 7243461563, 12667591123, 32578643809, 45246234932, 77824878741, 200895992414 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,8230,0,0,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^19 -26*x^18 +27*x^17 -80*x^16 +107*x^15 -187*x^14 +481*x^13 -668*x^12 +1149*x^11 -2966*x^10 -4115*x^9 -2966*x^8 -1149*x^7 -668*x^6 -481*x^5 -187*x^4 -107*x^3 -80*x^2 -27*x -26) / (x^20 -8230*x^10 +1). - Colin Barker, Dec 09 2013 a(n) = 8230*a(n-10) - a(n-20). - Wesley Ivan Hurt, Sep 07 2022 MATHEMATICA Numerator[Convergents[Sqrt[714], 30]] (* Vincenzo Librandi, Nov 22 2013 *) CROSSREFS Cf. A042375, A040687. Sequence in context: A042352 A304007 A305357 * A042376 A042372 A042370 Adjacent sequences: A042371 A042372 A042373 * A042375 A042376 A042377 KEYWORD nonn,cofr,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Dec 09 2013 STATUS approved

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Last modified December 10 18:52 EST 2023. Contains 367717 sequences. (Running on oeis4.)